Tubular phase of self-avoiding anisotropic crystalline membranes

被引:5
作者
Bowick, M [1 ]
Travesset, A [1 ]
机构
[1] Syracuse Univ, Dept Phys, Syracuse, NY 13244 USA
关键词
D O I
10.1103/PhysRevE.59.5659
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We analyze the tubular phase of self-avoiding anisotropic crystalline membranes. A careful analysis using renormalization group arguments together with symmetry requirements motivates the simplest form of the large-distance free energy describing fluctuations of tubular configurations. The non-self-avoiding limit of the model is shown to be exactly solvable. For the full self-avoiding model we compute the critical exponents using an epsilon expansion about the upper critical embedding dimension for general internal dimension D and embedding dimension d. We then exhibit various methods for reliably extrapolating to the physical point (D = 2,d = 3). Our most accurate estimates are v = 0.62 for the Flory exponent and xi = 0.80 for the roughness exponent. [S1063-651X(99)04805-9].
引用
收藏
页码:5659 / 5675
页数:17
相关论文
共 19 条